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Finding the Fourth Proportional to 6,522, 9,783.16 and 2,362.40

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Solution

The fourth proportional to 6,522, 9,783.16 and 2,362.40 is: 3,543.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,522 : 9,783.16 = 2,362.40 : x
  2. Step 2: Convert to fraction form
    6,522/9,783.16 = 2,362.40/x
  3. Step 3: Cross multiply
    6,522x = 9,783.16 × 2,362.40
  4. Step 4: Simplify right side
    6,522x = 23,111,737.18
  5. Step 5: Solve for x
    x = 23,111,737.18/6,522
  6. Step 6: Final answer
    x = 3,543.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.